bounded by + 22 %3D

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: First we take partial fraction , it is telescoping series. Follow step 2nd . 

Q: 5. Evaluate J2xdx, a, x' +c b. x+c C. 2x+c

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Q: (3 + xy³)dx + (5y² – xy + y³ sin y) dy = 0 %3D Let M = y² + xy' and N = 5y² – xy + y³ sin y 13. The ...

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Q: 3. Find the value of the directional derivative at the particular point Po for the given function in...

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Q: Find the mass of the surface lamina S of density p. S: = Va? – x² – y², p(x,y,z) = kz

A: Note: As per our company guideline we are supposed to answer the first question only. Kindly ask the...

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: Determine the end behavior of the graph of the function. m (x) = -2(x-2)(3x+1)°(x+4)* As x→-00, m (x...

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Q: SS 2x dæ dy 0 < x < y³ and 0 <y<2 1 decimal

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Q: %3D Given he following.

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Q: Sketch the graph, indicate the focus, directrix, vertex, and axis of symmet Y^2 - 12x + 8y = -40 %3D

A: Topic:- geometry

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A: Solve by series 

Q: State where the power series is centered. Σ (-1)"(x – 6x)ªn (4n)! n - 0

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Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: Answer in complete solution in this Differential Equations: (16D7 – 32D6 – 40D5 + 72D4 + 37D3 – 40D...

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Q: Find dw and ow de when P=1 9=4if Hew.3 W = XY +y2Zu +uV and x = P4 リ=4 tan p V =P+q+H

A: w=xy+yz+zu+uv∂w∂p=x∂y∂p+y∂x∂p+y∂z∂p+z∂y∂p+z∂u∂p                                  +u∂z∂p+u∂v∂p+v∂u∂p∂...

Q: Water whose temperature is at 100°C is left to cool in a room where the temperature is 60° C. After ...

A: T=60+40ekt Substitute t=3 , T=90  90=60+40e3k90-60=40e3k3040=e3ke3k=343k=ln(34)k=-0.2883k=-0.096

Q: s Two sider of a triangle have lengthsa:4 Cm b=3 Cm but are increasing at the rate of 1 c/see If the...

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Q: Verify the inverse function theorem of y = Vx +2

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Q: 6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly prop...

A: Find your answer below 

Q: Find each limit ) li sinh) O li x→o+ ( - ex -I 3 li ×→マ 4 li ( Inx)' ×→や x³+8 Xtる lin x→ -2

A: First we take logarithm on both side then using l hospitality rule. 

Q: Given x + 5, x 3 Find (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f (x) and lim f(x) X-3 X-3 X-4 ...

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Q: 1 we, ON =? - м ду dx 3 (a) 3 (b) (c) 3y (d) —Зу - --

A: Topic = Derivative

Q: Water whose temperature is at 100° C is left to cool in a room where the temperature is 60° C. After...

A: Given problem:- Water whose temperature is at 100°C is left to cool in a room where the temperature ...

Q: A body mass 4 kg falls (from at rest) from a medium whose resisting force is numerically equal to 0....

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Q: 1. Determine the order and degree of the differential equation d*y -2.x² 2 4 ´d²y + 4x dx2 -1 = 0. (...

A: Order of differential equation is the highest derivative in differential equation. Degree of differe...

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

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Q: (d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s),...

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Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: Show that the sequence 5n n=1 is eventually strictly increasing or eventually strictly decreasing. A...

A: Given is the question of sequence and series.

Q: Use implicit differentiation to find dz/dx and dz/ðy. x2 + 4y2 + 7z2 = 6 az ax əz ду

A: We have to find dz/dx and dz/dy using implicit differentiation. 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: This is a problem of derivative and expansion of the series. Based on the formula of taylor series e...

Q: The graph of a rational function (2а — 3)(4x + 5) f(x) is shown below. (x) (г — 3)(2а — 3) 12 3 12 1...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Verify the inverse function theorem of y = Vx + 2

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Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

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Q: Find the volume of the solid generated the area bounded by y = Vx, the x-axis and x = 4, rotated abo...

A: Area bounded:           Volume generated when revolved about y=2:  

Q: Given f(x) = 4x+9x-16x-21, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -1 i...

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: 2 cot- (ecsc) if – 3 3. - a. Determine if f is continuous or discontinuous at x= continuous, classif...

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Q: EXERCISE 2 Consider f(x, y) 3x2 · 4y² and U = cos r î + sin r ĵ. Use the Theorem above to find the d...

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Q: Find the indefinite integral sec* 7x dx.

A: Given query is to find the integral of the expression.

Q: Sx sin2x dx

A: I am integrating the above term by integration by parts method. 

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: a lim 6. *a Jx- Ja -x

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Q: (2) Solve the following (i) |10–3x|517 (ii) x² – 6x 213.

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Q: 4. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentrat...

A: Given: y(t) changes according to the law, dydt=-0.05y2 where, y is the concentration in moles per li...

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...

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